Question

simplify X to the power -7/2 multiply 2x to the power -1/2

Answer 1

${x}^{ - \frac{7}{2} } \times {2x}^{ - \frac{1}{2} } \\ = {x}^{ - \frac{7}{2} } \times {2}^{ - \frac{1}{2} } \times {x}^{ - \frac{1}{2} } \\ = {x}^{ - \frac{7}{2} + ( \frac{ - 1}{2}) } \times {2}^{ - \frac{1}{2} } \\ = {x}^{ - 4} \times {2}^{ - \frac{1}{2} } \\ = ( \sqrt{2} ) {}^{ - 1} (\frac{1}{ {x}^{4} }) \\ = \frac{1}{ \sqrt{2} \times {x}^{4} }$
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